Question

Y = 5x + 2

3x = –y + 10
What is the solution to the system of equations?

(–4, –18)
(–18, –4)
(7, 1)
(1, 7)

Answer 1

To solve this problem you must apply the proccedure shown below:
1. You have the following system of equations:
y=5x+2
3x=-y+10
2. Substitute y=5x+2 into the second equation, as following:
3x=-y+10
3x=-(5x+2)+10
3. Solve for x:
3x=-5x-2+10
3x+5x=8
x=8/8
x=1
4. Substitute the value of x into the first equation:
y=5x+2
y=5(1)+2
y=7
The answer is the last option: (1,7)

Answer 2

Answer: The solution of the system of equations is (1,7).

Step-by-step explanation: Given system of equations

y = 5x + 2 and

3x = –y + 10.

Substituting y= 5x+2 in second equation, we get

3x = -(5x+2) +10.

Distributing minus sign in (5x+2), we get

3x= -5x-2+10.

3x = -5x + 8.

Adding 5x on both sides, we get

3x+5x = -5x+5x +8

8x = 8.

Dividing both sides by 8, we get

8x/8 = 8/8

x = 1.

Plugging x=1 in first equation, we get

y = 5(1) +2

y = 5+2=7.

Therefore, the solution of the system of equations is (1,7).